Weight also impacts how many calories are burned. (http://caloriesburnedrunning.org/; not sure how accurate this particular site is, but I've seen similar results from other sites). A 6'6" person with a healthy BMI weight of 215 lbs would burn around 175 calories per mile at an 11.5 minute mile pace.
Despite this, as a tall person who runs a lot, I've found that a diet change is still really important if one wants to lose weight. (But after this is done, it is nice to go for a ten mile run on the weekend to cut a half pound that can be used as weight loss or to allow more eating throughout the rest of the week.)